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Finding the Fourth Proportional to 360,438.95, 497,393.30 and 197,099.42

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Solution

The fourth proportional to 360,438.95, 497,393.30 and 197,099.42 is: 271,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,438.95 : 497,393.30 = 197,099.42 : x
  2. Step 2: Convert to fraction form
    360,438.95/497,393.30 = 197,099.42/x
  3. Step 3: Cross multiply
    360,438.95x = 497,393.30 × 197,099.42
  4. Step 4: Simplify right side
    360,438.95x = 98,035,927,469.42
  5. Step 5: Solve for x
    x = 98,035,927,469.42/360,438.95
  6. Step 6: Final answer
    x = 271,990.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.